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Simplifying 9(x + -6) + -4 = 14x + -78 Reorder the terms: 9(-6 + x) + -4 = 14x + -78 (-6 * 9 + x * 9) + -4 = 14x + -78 (-54 + 9x) + -4 = 14x + -78 Reorder the terms: -54 + -4 + 9x = 14x + -78 Combine like terms: -54 + -4 = -58 -58 + 9x = 14x + -78 Reorder the terms: -58 + 9x = -78 + 14x Solving -58 + 9x = -78 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -58 + 9x + -14x = -78 + 14x + -14x Combine like terms: 9x + -14x = -5x -58 + -5x = -78 + 14x + -14x Combine like terms: 14x + -14x = 0 -58 + -5x = -78 + 0 -58 + -5x = -78 Add '58' to each side of the equation. -58 + 58 + -5x = -78 + 58 Combine like terms: -58 + 58 = 0 0 + -5x = -78 + 58 -5x = -78 + 58 Combine like terms: -78 + 58 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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